A radiation detector is used to measure the danger to humans working in a particular room. For illustration, we will model X = the number of radioactive "clicks" registered in a standard time period as a Poisson with mean A. That is to say, P(X = k) = e-dAk for k = 0, 1, 2, ... k! Presume that A = 2 is "safe" but larger means (indicating higher radiation levels) are not. Suppose that one determines to declare that there is an unsafe radiation level if X > 3.

Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H= 8 ppb; H,: H > 8 ppb O Ho: H 8 ppb; H: H = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. O The Student's t, since the sample size is large and a is unknown. What is…

Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.1 ppb arsenic, with s = 2.2 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. A USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Họ: u = 8 ppb; H,: u > 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and a is unknown. O The Student's t, since the sample size is large and a is known. O The standard normal, since the sample size is large and a is known. The Student's t, since the sample size is large and a is unknown. What is the…

Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 8 ppb; H,: u > 8 ppb O Ho: H = 8 ppb; H,: H + 8 ppb O Ho: H 8 ppb; H,: u = 8 ppb O Ho: H = 8 ppb; H,: µ 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.005 < P-value < 0.010 P-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. MacBook Pro esc

A population of N=15 has a mean =8 one score in the population is changed from X=20 to X-5.What is the value for thr new population mean?

Chapt 4, Q8: Answer this question please  The antibody production of 12 male red-winged blackbirds before and after receiving testosterone implants was compared. The units for antibody levels were natural log (10-3 optical density) per minute (ln(mOD/min)). The mean change in antibody production was d = 0.056, and the standard deviation was sd = 0.240 If you were assigned the task of repeating this experiment, and wanted to ensure that you could detect a mean change of 0.08 units with a probability of 0.8, then what sample size would you use? Since we are calculating n for a study of individuals, answers should be rounded to the closest whole number.

Below is data of lobster sales volume from a seafood company. We're are using exponential smoothing (α = 0.5) and 3-year moving average to forecast it. a) Fill the blanks above and write your processes below. b) What are the mean absolute deviations (MADs) of the two methods? Whichmethod will you choose based on the results? *Please solve for a-b, either type your work and answers or write them neatly on paper* thank you!

The failure time (T) of an electronic circuit board follows exponentially distribution with failure rate λ = 10−4/h. What is the probability that (i) it will fail before 1000 h? (ii) it will survive at least 10,000 h ? (iii) it will fail between 1000 and 10,000 h? (iv)Determine the mean time to failure. .

qu(16): The flavour of juicy fruit is said to last on average 2 minutes. A consumer product reseacher wanted to find out if this is true. and hypothezise than juicy fruit would last longer due to changing sticks to pellet pieces. The reseacher tested 10 pieces  and the following data was recorded 1.45 , 1.50, 1.45, 1.75, 2.15,   2.20  , 1.80 , 1.95,  2.05, 1.60 Test the  hypotheses at the 5% level of  using the following 5 step procedure. Step1: Set up Null  hypothesis Step 2: Set up Alternative hypothesis. Step 3: Choose the  level of signifance. Step  4: Compute Zobt( using the z score) Step  5: compare Zobt and Zcrt and make a decision.